Abstract

A method is proposed for tomography of the distribution function of energetic ions that are adiabatically trapped in an open magnetic trap, according to the diagnostic data by the method of collective Thomson scattering. This method is based on measurements of the scattering spectra from successive plasma cross sections corresponding to different values of the magnetic-field strength along a single line of force. It is shown that the problem of restoring the ion distribution function in the velocity space from the measurement data in this situation is reduced to an integral equation of the first kind that allows an analytical solution. Several ways to construct exact and approximate solutions of the resulting integral equation are considered.

中文翻译：

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从集体汤姆森散射光谱的测量中恢复磁镜中的二维离子分布函数

摘要

根据集体汤姆森散射方法的诊断数据，提出了一种对被绝热俘获在开放磁阱中的高能离子分布函数进行断层扫描的方法。该方法基于对沿一条力线的不同磁场强度值对应的连续等离子体横截面的散射光谱的测量。结果表明，在这种情况下，从测量数据恢复速度空间中的离子分布函数的问题被简化为允许解析解的第一类积分方程。考虑了几种构造所得积分方程的精确和近似解的方法。